Casson's invariant for homology 3-spheres and the mapping class group

DOI10.3792/pjaa.62.402zbMath0623.57006OpenAlexW2002708046MaRDI QIDQ1091636

Shigeyuki Morita

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.402

zbMATH Keywords

mapping class groupTorelli grouphomeomorphisms of surfacesBirman-Craggs invariantsCasson integer invariant of oriented homology 3-spheresfundamental group of the Heegaard surfaceRochlin's invariant

Mathematics Subject Classification ID

Differential topological aspects of diffeomorphisms (57R50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) General topology of 3-manifolds (57K30)

Related Items (1)

Casson's invariant for homology 3-spheres and characteristic classes of surface bundles

Cites Work

• Unnamed Item
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• An abelian quotient of the mapping class group \(\mathfrak S\)
• A survey of the Torelli group
• Quadratic Forms and the Birman-Craggs Homomorphisms
• The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold

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